The difference between inside and outside surfaces of a cylindrical tube 14cm long is 88sq. cm. If the volume of the tube is 176 cubic cm, find the inner and outer radii of the tube.

Explanation

Let r and R be the radii of inner and outer surfaces of a cylindrical tube.

Length of tube, `h=14cm`

Volume of tube, `V=176cm^3`

`pih(R^2-r^2)=176`

`R^2-r^2=4`_____1

Difference of outer and inner surface of the tube = `88cm`

`2pih(R-r)=88`

`R-r=1`_________2

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